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Missouri University of Science and Technology

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Full-Text Articles in Physical Sciences and Mathematics

Tempered Fbm With Reflecting Walls, Zachary Miller Apr 2021

Tempered Fbm With Reflecting Walls, Zachary Miller

Undergraduate Research Conference at Missouri S&T

Fractional Brownian Motion (FBM) is a Gaussian stochastic process with long-range correlations and a paradigmatic model for anomalous diffusion. For FBM confined by reflecting boundaries, recent work [1] demonstrated unusual accumulation and depletion of particles close to the walls. In many applications of FBM to physics, chemistry, and beyond, the long-range correlations are cut off (tempered) beyond a certain time scale [2]. Here, we study the behavior of tempered FMB in the presence of reflecting walls. More specifically, we analyze the probability density of tempered FBM on a one-dimensional interval between two reflecting wall.


Effect Of Magnetic Moment On Thermal Conductivity, Anthony Lonsdale Apr 2021

Effect Of Magnetic Moment On Thermal Conductivity, Anthony Lonsdale

Undergraduate Research Conference at Missouri S&T

Insulating non-magnetic solids conduct heat through the lattice vibrations, also colloquially known as phonons. However, in magnetic solids, additional channel for the heat transport is available through the interaction of magnetic moments with each-other. On the other hand, lattice vibrations couple with the magnetic moments on the atoms and thus provide additional resistance to the heat flow. Currently, there is no complete understanding of the magnitudes of these contributions and the overall effect of the magnetic contribution is largely unknown. Using a combination of spin dynamics and molecular dynamics simulations, we simulated the contribution of the magnetic subsystem to the …


Machine Learning Optimizes A Survey Of Dark Energy, Steven Karst Apr 2021

Machine Learning Optimizes A Survey Of Dark Energy, Steven Karst

Undergraduate Research Conference at Missouri S&T

Measuring the history of cosmic expansion via the Baryon Acoustic Oscillation (BAO) scale from a three-dimensional galaxy map is a well established technique to probe the nature of dark energy. In fact, a forthcoming galaxy redshift survey, the Subaru Prime Focus Spectrograph (PFS), is designed mainly for this purpose. An essential optimization problem in such galaxy redshift surveys is the target selection. Namely, it is not clear how we should select our targets to maximize the number of galaxies which provide successful redshift measurement in a desired cosmic epoch, while avoiding other galaxies. Taking PFS as an example, we apply …


The Effect Of Irradiating Aln On Its Dielectric Properties, Sean Anderson Apr 2021

The Effect Of Irradiating Aln On Its Dielectric Properties, Sean Anderson

Undergraduate Research Conference at Missouri S&T

Aluminum Nitride is an active element of sensors that monitor the performance and well-being of the nuclear reactors due to its piezoelectric properties. Yet, the variations of its properties under irradiation are largely unexplored. Here, we report the results of the molecular dynamics simulations of the structural changes in AlN under irradiation via the knock-on atom technique. By creating and evolving the irradiation cascades due to energetic particle interaction with the atom of the crystalline lattice we determine the rate of the defect production as a function of the deposited energy. Further, we determine a displacement energy, a key characteristic …